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Convergence of the balanced Euler method for a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients

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Abstract In this paper, we propose the balanced Euler method of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. The moment boundedness and strong convergence are… Click to show full abstract

Abstract In this paper, we propose the balanced Euler method of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. The moment boundedness and strong convergence are shown. Moreover, the theoretical results are illustrated by some numerical examples.

Keywords: stochastic volterra; balanced euler; method class; class stochastic; euler method; volterra integro

Journal Title: Applied Numerical Mathematics
Year Published: 2020

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